Question

1. which reason justifies why <2 ≅ <7? a. corresponding angles b. alternate interior angles c. consecutive interior angles d. alternate exterior angles 2. which reason justifies why <4 ≅ <8? a. corresponding angles b. alternate interior angles c. consecutive interior angles d. alternate exterior angles

Explanation:

Step1: Recall angle - pair relationships

When two parallel lines are cut by a transversal, different angle - pair relationships are formed.

Step2: Identify the relationship between ∠2 and ∠7

∠2 and ∠7 are alternate exterior angles. When two parallel lines are cut by a transversal, alternate exterior angles are congruent.

Step3: Identify the relationship between ∠4 and ∠8

∠4 and ∠8 are also alternate exterior angles. When two parallel lines are cut by a transversal, alternate exterior angles are congruent.

Answer:

1. d. Alternate Exterior Angles
2. d. Alternate Exterior Angles